Obelus and Counter Surveillance Combo Question

If this card is played together with Obelus, do I draw before accessing all the paid cards (number of tags) are accessed? Because that's the way it is implemented on jnet at the moment and I am not sure whether that is correct.

For instance:

Number of tags 10. I install Counter Surveillance, run and trash that card (run on RND) with Obelus installed. Now what happens? Do I draw 10 cards before looking at each single card of the top 10 in RND (like it is implemented) or do I access first, then draw (like I think) (is important against kill decks).

Thanks!